101011122101200 has 60 divisors (see below), whose sum is σ = 242804898116928. Its totient is φ = 40383524425600.

The previous prime is 101011122101191. The next prime is 101011122101203. The reversal of 101011122101200 is 2101221110101.

It is a happy number.

101011122101200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011122101203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64615432 + ... + 66160231.

Almost surely, 2^{101011122101200} is an apocalyptic number.

101011122101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011122101200 is an abundant number, since it is smaller than the sum of its proper divisors (141793776015728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101011122101200 is a wasteful number, since it uses less digits than its factorization.

101011122101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130777612 (or 130777601 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101011122101200 its reverse (2101221110101), we get a palindrome (103112343211301).

The spelling of 101011122101200 in words is "one hundred one trillion, eleven billion, one hundred twenty-two million, one hundred one thousand, two hundred".